Solve for x sin(x)=1

Problem

sin(x)=1

Solution

1. Identify the values on the unit circle where the sine function, which represents the y-coordinate, is equal to 1

2. Determine the primary angle in the interval [0,2*π) that satisfies the equation, which is x=π/2

3. Account for the periodicity of the sine function, which repeats every 2*π radians.

4. Generalize the solution by adding integer multiples of 2*π to the primary solution.

Final Answer

sin(x)=1⇒x=π/2+2*n*π,n∈ℤ

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